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Finding the Fourth Proportional to 5,541.23, 7,647.66 and 3,183.32

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Solution

The fourth proportional to 5,541.23, 7,647.66 and 3,183.32 is: 4,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.23 : 7,647.66 = 3,183.32 : x
  2. Step 2: Convert to fraction form
    5,541.23/7,647.66 = 3,183.32/x
  3. Step 3: Cross multiply
    5,541.23x = 7,647.66 × 3,183.32
  4. Step 4: Simplify right side
    5,541.23x = 24,344,949.03
  5. Step 5: Solve for x
    x = 24,344,949.03/5,541.23
  6. Step 6: Final answer
    x = 4,393.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.